5804092800 has 768 divisors, whose sum is σ = 24041318400. Its totient is φ = 1354752000.

The previous prime is 5804092793. The next prime is 5804092813. The reversal of 5804092800 is 82904085.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29462302 + ... + 29462498.

It is an arithmetic number, because the mean of its divisors is an integer number (31303800).

Almost surely, 2^5804092800 is an apocalyptic number.

5804092800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5804092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020659200).

5804092800 is an abundant number, since it is smaller than the sum of its proper divisors (18237225600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5804092800 is a wasteful number, since it uses less digits than its factorization.

5804092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5804092800 is about 76184.5968683959. The cubic root of 5804092800 is about 1797.1242970759.

Adding to 5804092800 its reverse (82904085), we get a palindrome (5886996885).

The spelling of 5804092800 in words is "five billion, eight hundred four million, ninety-two thousand, eight hundred".